Geometry Of Mobius Transformations Elliptic Parabolic And Hyperbolic Actions Of Sl2 r With Dvd rom is popular PDF and ePub book, written by Vladimir V Kisil in 2012-06-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometry Of Mobius Transformations Elliptic Parabolic And Hyperbolic Actions Of Sl2 r With Dvd rom can be Read Online from any device for your convenience.
Geometry Of Mobius Transformations Elliptic Parabolic And Hyperbolic Actions Of Sl2 r With Dvd rom Book PDF Summary
This book is a unique exposition of rich and inspiring geometries associated with Möbius transformations of the hypercomplex plane. The presentation is self-contained and based on the structural properties of the group SL2(R). Starting from elementary facts in group theory, the author unveils surprising new results about the geometry of circles, parabolas and hyperbolas, using an approach based on the Erlangen programme of F Klein, who defined geometry as a study of invariants under a transitive group action.The treatment of elliptic, parabolic and hyperbolic Möbius transformations is provided in a uniform way. This is possible due to an appropriate usage of complex, dual and double numbers which represent all non-isomorphic commutative associative two-dimensional algebras with unit. The hypercomplex numbers are in perfect correspondence with the three types of geometries concerned. Furthermore, connections with the physics of Minkowski and Galilean space-time are considered./a
Detail Book of Geometry Of Mobius Transformations Elliptic Parabolic And Hyperbolic Actions Of Sl2 r With Dvd rom PDF
- Author : Vladimir V Kisil
- Release : 19 June 2012
- Publisher : World Scientific
- ISBN : 9781908977601
- Genre : Mathematics
- Total Page : 207 pages
- Language : English
- PDF File Size : 19,8 Mb
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